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21021121012122 = 2337115055584659
BaseRepresentation
bin1001100011110010111000…
…11100110110000110011010
32202102121012001210111221000
410301321130130312012122
510223402223434341442
6112412545241125430
74266503655303510
oct461713434660632
982377161714830
1021021121012122
116775009878a50
12243604aa89876
13b9638b283b8a
145295db7d84b0
15266c1a99ed4c
hex131e5c73619a

21021121012122 has 64 divisors (see below), whose sum is σ = 58240335283200. Its totient is φ = 5460031430640.

The previous prime is 21021121012037. The next prime is 21021121012123. The reversal of 21021121012122 is 22121012112012.

21021121012122 is a `hidden beast` number, since 210 + 211 + 210 + 12 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21021121012095 and 21021121012104.

It is not an unprimeable number, because it can be changed into a prime (21021121012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2527788172 + ... + 2527796487.

It is an arithmetic number, because the mean of its divisors is an integer number (910005238800).

Almost surely, 221021121012122 is an apocalyptic number.

21021121012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21021121012122 is an abundant number, since it is smaller than the sum of its proper divisors (37219214271078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21021121012122 is a wasteful number, since it uses less digits than its factorization.

21021121012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055584688 (or 5055584682 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21021121012122 its reverse (22121012112012), we get a palindrome (43142133124134).

The spelling of 21021121012122 in words is "twenty-one trillion, twenty-one billion, one hundred twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 5055584659 10111169318 15166753977 30333507954 35389092613 45500261931 55611431249 70778185226 91000523862 106167277839 111222862498 136500785793 166834293747 212334555678 273001571586 318501833517 333668587494 389280018743 500502881241 637003667034 778560037486 955505500551 1001005762482 1167840056229 1501508643723 1911011001102 2335680112458 3003017287446 3503520168687 7007040337374 10510560506061 21021121012122